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223412113140 = 223537853117979
BaseRepresentation
bin1101000000010001100…
…1100100111011110100
3210100122222022021000220
43100010121210323310
512130022000110030
6250344544534340
722066234425426
oct3200431447364
9710588267026
10223412113140
118682634a337
12373703213b0
13180b58a1268
14ab55608816
155c28a3ba10
hex3404664ef4

223412113140 has 96 divisors (see below), whose sum is σ = 643219409280. Its totient is φ = 57897939456.

The previous prime is 223412113139. The next prime is 223412113147. The reversal of 223412113140 is 41311214322.

It is a self number, because there is not a number n which added to its sum of digits gives 223412113140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223412113147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1834671 + ... + 1952649.

It is an arithmetic number, because the mean of its divisors is an integer number (6700202180).

Almost surely, 2223412113140 is an apocalyptic number.

223412113140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223412113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321609704640).

223412113140 is an abundant number, since it is smaller than the sum of its proper divisors (419807296140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223412113140 is a wasteful number, since it uses less digits than its factorization.

223412113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118881 (or 118879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 223412113140 its reverse (41311214322), we get a palindrome (264723327462).

The spelling of 223412113140 in words is "two hundred twenty-three billion, four hundred twelve million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 853 1110 1706 2220 2559 3412 4265 5118 8530 10236 12795 17060 25590 31561 51180 63122 94683 117979 126244 157805 189366 235958 315610 353937 378732 471916 473415 589895 631220 707874 946830 1179790 1415748 1769685 1893660 2359580 3539370 4365223 7078740 8730446 13095669 17460892 21826115 26191338 43652230 52382676 65478345 87304460 100636087 130956690 201272174 261913380 301908261 402544348 503180435 603816522 1006360870 1207633044 1509541305 2012721740 3019082610 3723535219 6038165220 7447070438 11170605657 14894140876 18617676095 22341211314 37235352190 44682422628 55853028285 74470704380 111706056570 223412113140